414420111304144 has 40 divisors (see below), whose sum is σ = 897297646775040. Its totient is φ = 183778319865600.

The previous prime is 414420111304109. The next prime is 414420111304151. The reversal of 414420111304144 is 441403111024414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28715355264 + ... + 28715369695.

It is an arithmetic number, because the mean of its divisors is an integer number (22432441169376).

Almost surely, 2^{414420111304144} is an apocalyptic number.

414420111304144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414420111304144 is an abundant number, since it is smaller than the sum of its proper divisors (482877535470896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414420111304144 is a wasteful number, since it uses less digits than its factorization.

414420111304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57430725019 (or 57430725013 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 414420111304144 its reverse (441403111024414), we get a palindrome (855823222328558).

The spelling of 414420111304144 in words is "four hundred fourteen trillion, four hundred twenty billion, one hundred eleven million, three hundred four thousand, one hundred forty-four".